matita/matita/contribs/lambda_delta/basic_2/computation/fprs.ma

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  14
  15 include "basic_2/reducibility/fpr.ma".
  16
  17 (* CONTEXT-FREE PARALLEL COMPUTATION ON CLOSURES ****************************)
  18
  19 definition fprs: bi_relation lenv term ≝ bi_TC … fpr.
  20
  21 interpretation "context-free parallel computation (closure)"
  22    'FocalizedPRedStar L1 T1 L2 T2 = (fprs L1 T1 L2 T2).
  23
  24 (* Basic properties *********************************************************)
  25
  26 lemma fprs_refl: bi_reflexive … fprs.
  27 /2 width=1/ qed.
  28
  29 lemma fprs_strap1: ∀L1,L,L2,T1,T,T2. ⦃L1, T1⦄ ➡* ⦃L, T⦄ → ⦃L, T⦄ ➡ ⦃L2, T2⦄ →
  30                    ⦃L1, T1⦄ ➡* ⦃L2, T2⦄.
  31 /2 width=4/ qed.
  32
  33 lemma fprs_strap2: ∀L1,L,L2,T1,T,T2. ⦃L1, T1⦄ ➡ ⦃L, T⦄ → ⦃L, T⦄ ➡* ⦃L2, T2⦄ →
  34                    ⦃L1, T1⦄ ➡* ⦃L2, T2⦄.
  35 /2 width=4/ qed.